··

rrxiv is an open protocol. Specification · API · Pulse · AboutMaintained by the rrxiv working group · Privacy-respecting analytics

Source — Euclid's Elements, encoded as an rrxiv paper — rrxiv

Browse/Euclid's Elements, encoded as an rrxiv paper/source

Source — Euclid's Elements, encoded as an rrxiv paper

58 files·489.1 KB···Download archive (.tar.gz)

Reader · live HTML Source files · 58 files · loading…Rendered · PDF

← Claims Full view

VI.25 Proposition VI.25

To construct one and the same figure similar to a given rectilineal figure and equal to another given rectilineal figure.

Proof

Reduce both given figures to rectangles on a common base (I.44); the side opposite the common base measures each figure's area. Take the mean proportional (VI.13) of those two opposite sides; build on that mean a figure similar to the first via VI.18. By VI.20 the constructed figure has the required area.

lines 74–74 in main.tex

58 files·489.1 KB·

· 58 files

← Claims Full view

VI.25 Proposition VI.25

To construct one and the same figure similar to a given rectilineal figure and equal to another given rectilineal figure.

Proof

lines 74–74 in main.tex